Analysis and Approaches for IBDP Maths Ebook 1 | Page 24

Your Practice Set – Analysis and Approaches for IBDP Mathematics
SUMMARY POINTs
�
Summary of transformations:
f ( kx )
kf ( x )
f( x )
x
f ( x) � f ( x)
� k :
Translate upward by k units
f ( x) � f ( x)
� k :
Translate downward by
k units
f ( x) � f ( x � h)
:
Translate to the left by h units
f ( x) � f ( x � h)
:
Translate to the right by
h units
f ( x) � kf ( x)
:
Vertical stretch of
scale factor k
f ( x) � f ( kx)
:
Horizontal compression of
scale factor k
f ( x) �� f ( x)
:
Reflection about the x -axis
f ( x) � f ( � x)
:
Reflection about the y -axis
�
ax � b
Properties of rational function y �
cx � d
1.
1
y � : Reciprocal function
x
2.
a
y � : Horizontal asymptote
c
3.
d
x �� : Vertical asymptote
c
Solutions of Chapter 3
16
SE Production Limited